具有分布时滞不确定广义系统的稳定性研究

Stability research of uncertain singular systems with distributed delays

针对一类含有分布时滞和不满足匹配条件的不确定广义系统进行稳定性分析.无需对广义系统做模型变换,通过直接对系统构造适当的Lyapunov函数,利用积分不等式技术,给出了广义系统正则无脉冲渐近稳定的充分条件.该充分条件可通过Matlab中的LMI工具箱进行方便的求解.并给出具体算例证明此方法的有效性.

Stability analysis for a class of singular systems with distributed delays and mismatched uncertainties were researched.Without model transformation of the singular system,a sufficient condition was given which made sure the singular systems to be regular,impulse free and asymptotically stable by constructing the appropriate Lyapunov functions directly,using integral inequality technique.The sufficient conditions can be shown in LMIs and sovled easily by LMI toolbox in Matlab.A numerical example was given to illustrate the validity of the method.